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Temporal quantum correlations and hidden variable models

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Temporal quantum correlations and hidden variable models/ by Costantino Budroni.
Author:	Budroni, Costantino.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xiii, 114 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Quantum theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-24169-2
ISBN:	9783319241692

Temporal quantum correlations and hidden variable models
Budroni, Costantino.

Temporal quantum correlations and hidden variable models[electronic resource] /by Costantino Budroni. - Cham :Springer International Publishing :2016. - xiii, 114 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Introduction -- Preliminary notions -- Noncontextuality inequalities from variable elimination -- Optimal tests for state-independent contextuality -- Quantum bounds for temporal correlations -- Dimension witnesses -- Conclusions.

In this thesis, the main approach to the characterization of the set of classical probabilities, the correlation polytope approach, is reviewed for different scenarios, namely, hidden variable models discussed by Bell (local), Kochen and Specker (non-contextual), and Leggett and Garg (macrorealist) Computational difficulties associated with the method are described and a method to overcome them in several nontrivial cases is presented. For the quantum case, a general method to analyze quantum correlations in the sequential measurement scenario is provided, which allows computation of the maximal correlations. Such a method has a direct application for computation of maximal quantum violations of Leggett-Garg inequalities and it is relevant in the analysis of non-contextuality tests. Finally, possible applications of the results for quantum information tasks are discussed.

ISBN: 9783319241692

Standard No.: 10.1007/978-3-319-24169-2doiSubjects--Topical Terms:

568041
Quantum theory.

LC Class. No.: QC174.17.P68

Dewey Class. No.: 530.12

Temporal quantum correlations and hidden variable models
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505 0 $a Introduction -- Preliminary notions -- Noncontextuality inequalities from variable elimination -- Optimal tests for state-independent contextuality -- Quantum bounds for temporal correlations -- Dimension witnesses -- Conclusions.
520 $a In this thesis, the main approach to the characterization of the set of classical probabilities, the correlation polytope approach, is reviewed for different scenarios, namely, hidden variable models discussed by Bell (local), Kochen and Specker (non-contextual), and Leggett and Garg (macrorealist) Computational difficulties associated with the method are described and a method to overcome them in several nontrivial cases is presented. For the quantum case, a general method to analyze quantum correlations in the sequential measurement scenario is provided, which allows computation of the maximal correlations. Such a method has a direct application for computation of maximal quantum violations of Leggett-Garg inequalities and it is relevant in the analysis of non-contextuality tests. Finally, possible applications of the results for quantum information tasks are discussed.
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